We examine two binary operations on the set of algebraic polynomials, known as
multiplicative and additive finite free convolutions, specifically in the context of …

In this paper we propose a new choice of poles to define reliable rational Krylov methods.
These methods are used for approximating function of positive definite matrices. In …

Estimates are obtained for the Lebesgue constants associated with the Gauss quadrature
points on augmented by the point and with the Radau quadrature points on either or. It is …

This thesis considers four independent topics within linear algebra: determinantal point
processes, extremal problems in spectral graph theory, force-directed layouts, and …

For a given θ ∈ (a, b), we investigate the question whether there exists a positive
quadrature formula with maximal degree of precision which has the prescribed abscissa θ …

This paper investigates a generalized interlacing property between Bessel functions,
particularly J ν and J μ, where the difference| ν− μ| exceeds 2. This interlacing phenomenon …

In this thesis, the Heisenberg-Pauli-Weyl uncertainty principle on the real line and the
Breitenberger uncertainty on the unit circle are generalized to Riemannian manifolds. The …

We consider interlacing properties satisfied by the zeros of Jacobi polynomials in quasi-
orthogonal sequences characterised by $\alpha\gt-1$, $-2\lt\beta\lt-1$. We give necessary …

We study the interlacing properties of the zeros of orthogonal polynomials pn and rm, m= n
or n− 1 where [Formula: see text] and [Formula: see text] are different sequences of …

We discuss the common zeros of the Laguerre polynomials L n (α) and L n− k (α+ t),
considering them as functions of t. These common zeros are useful in discussing the …